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Finding the Third Proportional to 200,830.50 and 310,963.50

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Solution

The third proportional to 200,830.50 and 310,963.50 is: 481,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,830.50 : 310,963.50 = 310,963.50 : x
  2. Step 2: Convert to fraction form
    200,830.50/310,963.50 = 310,963.50/x
  3. Step 3: Cross multiply
    200,830.50x = 310,963.50 × 310,963.50
  4. Step 4: Simplify right side
    200,830.50x = 96,698,298,332.25
  5. Step 5: Solve for x
    x = 96,698,298,332.25/200,830.50
  6. Step 6: Final answer
    x = 481,492.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.